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53222130 = 23351359257
BaseRepresentation
bin1100101100000…
…1101011110010
310201010222001000
43023001223302
5102111102010
65140422430
71214244363
oct313015362
9121128030
1053222130
1128051635
12159a7a16
13b045bb0
1470d5b6a
154a147c0
hex32c1af2

53222130 has 128 divisors (see below), whose sum is σ = 156038400. Its totient is φ = 12828672.

The previous prime is 53222129. The next prime is 53222131. The reversal of 53222130 is 3122235.

53222130 is a `hidden beast` number, since 532 + 2 + 2 + 130 = 666.

53222130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (53222129) and next prime (53222131).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (53222131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206962 + ... + 207218.

It is an arithmetic number, because the mean of its divisors is an integer number (1219050).

Almost surely, 253222130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53222130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78019200).

53222130 is an abundant number, since it is smaller than the sum of its proper divisors (102816270).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

53222130 is a wasteful number, since it uses less digits than its factorization.

53222130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 345 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 53222130 is about 7295.3498887990. The cubic root of 53222130 is about 376.1526136550.

Adding to 53222130 its reverse (3122235), we get a palindrome (56344365).

The spelling of 53222130 in words is "fifty-three million, two hundred twenty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 27 30 39 45 54 59 65 78 90 117 118 130 135 177 195 234 257 270 295 351 354 390 514 531 585 590 702 767 771 885 1062 1170 1285 1534 1542 1593 1755 1770 2301 2313 2570 2655 3186 3341 3510 3835 3855 4602 4626 5310 6682 6903 6939 7670 7710 7965 10023 11505 11565 13806 13878 15163 15930 16705 20046 20709 23010 23130 30069 30326 33410 34515 34695 41418 45489 50115 60138 69030 69390 75815 90207 90978 100230 103545 136467 150345 151630 180414 197119 207090 227445 272934 300690 394238 409401 451035 454890 591357 682335 818802 902070 985595 1182714 1364670 1774071 1971190 2047005 2956785 3548142 4094010 5322213 5913570 8870355 10644426 17740710 26611065 53222130